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If the straight line (a-1)x-by+4=0 is no...

If the straight line `(a-1)x-by+4=0` is normal to the hyperbola `xy=1` then which of the followings does not hold?

A

`a gt 1, b gt0`

B

`a gt 1, b lt 0`

C

`a lt 1, b lt 0`

D

`a lt 1, b gt 0`

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